When the player invokes the feature, there is a pay table boost from 8-5 to 10-5." As a reminder, the game awards 12 bonus hands for two dealt aces and 13 for three. The WOO page text says, in the Analysis Section: "Following is my analysis of 5-play 8-5 Bonus Poker. Very well done to cut through such a thick fog!Ģ. I am impressed with Wizard's impressive instincts and persistence. I now calculate that the average value of the bonus for AAA hands = 295.0297323. However, I note that your table above appears to have an error - hands 11 and 12 have identical entries. I see now that the rules you have posted indicate a stack size of 13 for an AAA hand. Unfortunately, the player return on this feature is slightly lower, if my values are correct. I calculate that the blended average for AAA = 258.595987. You have modeled a stack of 13! Not a stack of 12!įor a stack of 12, I get AAA-xy = 258.549196 and AAA-xx = 258.6817704 The bottom right cell shows the value of the bonus is 292.02 credits. If I may, here is my math if the player is dealt three aces and two singletons. It should be greater than the 99.17% return of 8-5 Bonus. That gives the additional bet a return of 94.6%. However, the player must pay 5 credits for it. The bottom right cell shows the feature, in 8-5 Bonus, is worth 4.73 credits. I know I'm skipping a lot of steps, but here is the final table showing the value of the feature: In conventional 8-5 Bonus, I show, on average, all hands with two aces on the deal have an EV of 1.856810. If the player gets AAxyz (two aces and three singletons), here is the value of the subsequent 12-hand bonus.īlended average of AA bonuses = 116.5185234 What the player throws away affects the subsequent hands. I have a feeling any error I made is probably in setting up the various situations the player can get two aces. I didn't see any flaws and think we did it the same way. Row 3 would be similar but starting with these values for the likelihood of the current number of aces. That is, we apply the starting probabilities. Now we have to take into account the likelihood of A, B and C. If we have 4 aces, the probability of ending with 2 or 3 is zero and the probability of 4 is 1. The probability of ending with 4 is just the remainder = 0.04347826. If we have 3 aces, the probability of ending with 2 aces is zero. If we have just 2 aces, the three probabilities are the same as above. Multiply by 3 (the 3 possible ending positions) to get the overall probability of 1 ace = 0.12210916. The probability of getting an ace in position 1 is 2 * 45 * 44/(47*46*45). But just so we are all on the same page, here are where my numbers come from in case someone can spot a flaw in my logic. The question for the poll is would you play Stack 'em Up Poker? However, I am expecting the returns from Action Gaming. Without knowing the probability distribution of extra hands, it will be impossible to analyze. Had one of those improved to four aces, that fourth ace would have replicated too. Note how the aces of hearts was replicated to all hands above it. The second bonus hand improved to a three of a kind. I was awarded 7 out of a maximum of 8 bonus hands. In the five hands I paid for, none of them improved. Note you must click on hold, it's not automatic. In this hand, I was dealt two aces, which I held. If the holds other cards, he won't get the bonus hands. To invoke the feature, the player must hold the 2 or 3 dealt aces only. If the player is dealt any additional aces on the draw, those aces will be sticky for all hands above. Replacements cards are dealt to one hand at a time, starting at the bottom of the stack. Regardless of how many hands the player has, they will be in the form of a vertical stack. For example, this maximum is 8 hands in 5-play Bonus Poker and 6 in Double Double Bonus. The number of additional hands is not disclosed in the rules, except to state a maximum. If the player is dealt 2 or 3 aces, then he will win additional hands above the 3 or 5 he paid for. The player must play 10 credits per line to invoke the feature. Game is an optional feature on 3-play and 5-play video poker.One video poker variant I saw at G2E and now at is Stack 'em High Poker.
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